California State Jobs Exam Mathematical Reasoning 2 — Questions and Answers
Question 1: A state agency's budget was $4.5 million last year and increased by 8%. What is this year's budget?
- $4.86 million (Correct answer)
- $5.04 million
- $4.72 million
- $4.90 million
Correct answer: $4.86 million
$4.5M x 1.08 = $4.86 million.
To calculate an 8% increase: $4,500,000 x 1.08 = $4,860,000 = $4.86 million.
Question 2: A worker processes 45 applications per day. How many days to process 1,350?
- 28
- 30 (Correct answer)
- 32
- 35
Correct answer: 30
1,350 / 45 = 30 days.
Total / rate = time. 1,350 / 45 = 30 working days.
Question 3: An order costs $234.50 before a 15% government discount. What is the final cost?
- $199.33 (Correct answer)
- $200.50
- $204.15
- $210.00
Correct answer: $199.33
$234.50 x 0.85 = $199.325, rounded to $199.33.
Pay 85% of original: $234.50 x 0.85 = $199.325, rounded to $199.33.
Question 4: A building has 12 floors, 18 offices each. If 75% are occupied, how many are vacant?
- 54 (Correct answer)
- 162
- 48
- 36
Correct answer: 54
Total: 12 x 18 = 216. Vacant: 216 x 0.25 = 54.
Total offices: 216. Vacant (25%): 216 x 0.25 = 54.
Question 5: Three clerks take 6 hours to sort files. How long for 9 clerks?
- 2 hours (Correct answer)
- 3 hours
- 4 hours
- 18 hours
Correct answer: 2 hours
3 x 6 = 18 clerk-hours. 18 / 9 = 2 hours.
Total work = 3 x 6 = 18 clerk-hours. With 9 clerks: 18 / 9 = 2 hours.
Question 6: Annual expenditures: $1.2M, $1.35M, $1.5M over three years. What is the average?
- $1.30 million
- $1.35 million (Correct answer)
- $1.40 million
- $1.45 million
Correct answer: $1.35 million
($1.2 + $1.35 + $1.5) / 3 = $1.35 million.
Mean = ($1.2M + $1.35M + $1.5M) / 3 = $4.05M / 3 = $1.35M.
California State Jobs Exam Mathematical Reasoning 2
A state agency's budget was $4.5 million last year and increased by 8%.
What is this year's budget?